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Mathematics 12 Online
OpenStudy (haleyright):

Please help. Use the conditional statement to answer the question. If an angle measures 43°, then the angle is acute. Are the statement and its inverse true? Both the statement and its inverse are true. The statement is false, but the inverse is true. The statement is true, but the inverse is false. Both the statement and its inverse are false.

OpenStudy (studygurl14):

First off, is the original statement true?

OpenStudy (haleyright):

no .-.

OpenStudy (studygurl14):

Actually, it is. An acute angle is one with a measure <90

OpenStudy (studygurl14):

Now, the inverse. If an angle does not measure 43 degrees, then the angle is not acute. Is this true or false?

OpenStudy (haleyright):

Its true.

OpenStudy (jadeishere):

A conditional statement is an "If" and "Then" statement. The "If" is the information used to create the "Then" which is the conclusion. The inverse statement would be "If an angle doesn't measure 43 (deg.) then it's not acute"

OpenStudy (studygurl14):

Actually, no. It's false. The statement is basically saying that unless an angle measure 43 degrees, it's not acute. Which is false because any angle <90 is acute. That means it can be 2 degrees, 85 degrees, etc.

OpenStudy (haleyright):

mkai . , .

OpenStudy (haleyright):

so whats the answer .-.

OpenStudy (studygurl14):

The statement is true, but the inverse is false.

OpenStudy (haleyright):

thank you

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